Will my unlocked iPhone 5 be able to update?

Okay so I bought this iPhone 5 from my girlfriend's dad and it's from Verizon. I have Metro Pcs. I went to my phone company and they unlock the phone for me no problem. Now my iPhone has to do a iOS 7 update and I wanted to know if I do the update, will my phone relock again?

It's already unlocked, so, just do it, no problem

The phone comes factory unlocked and if they've unlocked the phone, the phone will not get locked back again on updating the firmware. So go ahead and update.

If it is factory unlocked it won't relock.
If it is unlocked in a different way it WILL surely relock.